Boundary control problems with convex cost and dynamic programming in infinite dimension part I: the maximum principle. (Q2426218)
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| English | Boundary control problems with convex cost and dynamic programming in infinite dimension part I: the maximum principle. |
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Boundary control problems with convex cost and dynamic programming in infinite dimension part I: the maximum principle. (English)
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21 April 2008
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This is the first of two papers on boundary optimal control problems with linear state equation and convex cost arising from boundary control of PDEs and the associated Hamilton-Jacobi-Bellman equation. Necessary and sufficient conditions of optimality (Pontryagin's maximum principle) are studied and useful properties of a family of approximating problems are established.
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boundary control
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convex cost
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maximum principle
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